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Applying Differentiation. Differentiation Lesson 2 Chapter 7. Applying Differentiation. Last lesson we learned that you can find the gradient of a function by differentiating it. Applying Differentiation.
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Applying Differentiation Differentiation Lesson 2 Chapter 7
Applying Differentiation • Last lesson we learned that you can find the gradient of a function by differentiating it
Applying Differentiation • This lesson you are going to apply your knowledge of differentiation to be able to find the value of the gradient at any point on a curve
Example 1 • Find the gradient of y = f(x) at the point (½, 0) • Find the coordinates of the point on the graph of y = f(x) where the gradient is 8 • Find the gradient of y = f(x) at the points where the curve meets the line y = 4x – 5
Example • Find the gradient of y = f(x) at the point (½, 0) • Find the coordinates of the point on the graph of y = f(x) where the gradient is 8 • Find the gradient of y = f(x) at the points where the curve meets the line y = 4x – 5
Example • Find the gradient of y = f(x) at the point (½, 0) • Find the coordinates of the point on the graph of y = f(x) where the gradient is 8 • Find the gradient of y = f(x) at the points where the curve meets the line y = 4x – 5
Finding the gradient • Next page • Complete the table. • Find the gradient of each function at the specified point.
Differentiation and Coordinate Geometry • Rewind back to Chapter 5…. • You learned coordinate geometry for this purpose!!!
Question 1 The equation of a curve is Find the gradient of the tangent and of the normal to the curve at the point (-2, 4)
Question 2 Find the coordinates of the points on the curve where the gradient is 4.